7w+27=3w-17

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Solution for 7w+27=3w-17 equation:


Simplifying
7w + 27 = 3w + -17

Reorder the terms:
27 + 7w = 3w + -17

Reorder the terms:
27 + 7w = -17 + 3w

Solving
27 + 7w = -17 + 3w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-3w' to each side of the equation.
27 + 7w + -3w = -17 + 3w + -3w

Combine like terms: 7w + -3w = 4w
27 + 4w = -17 + 3w + -3w

Combine like terms: 3w + -3w = 0
27 + 4w = -17 + 0
27 + 4w = -17

Add '-27' to each side of the equation.
27 + -27 + 4w = -17 + -27

Combine like terms: 27 + -27 = 0
0 + 4w = -17 + -27
4w = -17 + -27

Combine like terms: -17 + -27 = -44
4w = -44

Divide each side by '4'.
w = -11

Simplifying
w = -11

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